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Circle and torus actions on equal symplectic blow-ups of CP^2

Yael Karshon·Liat Kessler
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Abstract

A manifold obtained by k simultaneous symplectic blow-ups of CP^2 of equal sizes epsilon (where the size of CP^1 \subset CP^2 is one) admits an effective two dimensional torus action if k <= 3 and admits an effective circle action if (k-1)epsilon < 1. We show that these bounds are sharp if 1/epsilon is an integer.

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Yael Karshon, Liat Kessler. 2005-01-02. Circle and torus actions on equal symplectic blow-ups of CP^2. https://arxiv.org/abs/math/0501011

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